sranthrop

 21 Prove/disprove: if $\lim\limits_{ n\to\infty} f(n)=\infty$ then $\lim\limits_{ n\to\infty}f(f(n))=\infty$ 15 How “messy” can a multivariable function be? 9 $\sum_{n} a_n$ and $\sum_n b_n$ converge $\Longrightarrow^{?}$ $\sum_n a_nb_n$ converge in $\mathbb{R}$ 9 find $\sum_{i=1}^\infty \frac{1}{n3^n}$ 9 The derivative of $e^x$ using the definition of derivative as a limit and the definition $e^x = \lim_{n\to\infty}(1+x/n)^n$, without L'Hôpital's rule

### Reputation (7,221)

 +25 Are \$\sup_n |\Re a_n|

### Questions (40)

 12 Multiplier for the space of functions which have a primitive 9 Covering of Intervals 7 “Almost” continuous = continuous? 6 Conformal mapping from square to disk as inverse of hypergeometric function 5 Pointwise Convergent Composition Operator in BV

### Tags (141)

 136 real-analysis × 85 48 analysis × 28 98 calculus × 39 43 continuity × 19 70 limits × 19 33 integration × 24 64 sequences-and-series × 29 32 linear-algebra × 12 51 functions × 19 28 complex-analysis × 24